Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31280c |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-138791021750000 = -1 · 24 · 56 · 176 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 6 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12917,44593] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:4913:27] |
Generators of the group modulo torsion |
j |
14896653229760256/8674438859375 |
j-invariant |
L |
3.7822718155969 |
L(r)(E,1)/r! |
Ω |
0.3512927535215 |
Real period |
R |
2.691680783109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15640a1 125120cr1 |
Quadratic twists by: -4 8 |